Synthesis of dual program control for a multidimensional dynamical system
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the IV International Scientific Conference "Actual Problems of Applied Mathematics". Kabardino-Balkar Republic, Nalchik, Elbrus Region, May 22–26, 2018. Part III, Tome 167 (2019), pp. 117-123.

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In this paper, we consider the problem of synthesis of dual program control for a multidimensional dynamic system and propose various quality indicators for dual program control. Based on the Rayleigh–Ritz method, we synthesize a control law for the spatial position of the block of sensitive elements of an inertial navigation system.
Keywords: multidimensional dynamical system, dual program control, control law, quality indicator, system of stochastic differential equations.
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I. P. Shepet; D. B. Litvin. Synthesis of dual program control for a multidimensional dynamical system. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the IV International Scientific Conference "Actual Problems of Applied Mathematics". Kabardino-Balkar Republic, Nalchik, Elbrus Region, May 22–26, 2018. Part III, Tome 167 (2019), pp. 117-123. http://geodesic.mathdoc.fr/item/INTO_2019_167_a10/

[1] Boguslavskii I. A., Prikladnye zadachi filtratsii i upravleniya, Nauka, M., 1983 | MR

[2] Ermakova S. M. (red.), Matematicheskaya teoriya planirovaniya eksperimenta, Nauka, M., 1983

[3] Krasovskii N. N. (red.), Spravochnik po teorii avtomaticheskogo upravleniya, Nauka, M., 1987

[4] Malyshev V. V., Krasilschikov M. N., Karlov V. I., Optimizatsiya nablyudeniya i upravleniya letatelnykh apparatov, Mashinostroenie, M., 1989

[5] Feldbaum A. A., Osnovy teorii optimalnykh avtomaticheskikh sistem, GIFML, M., 1963 | MR

[6] Shepet I. P., Sposob inertsialnoi navigatsii i ustroistvo dlya ego osuschestvleniya, Patent 2572403 RF, MPK G06C 21/12. Zayavitel i patentoobladatel Shepet I. P. No 2015111505/28. Zayavl. 30.03.2015, opubl. 10.01.2016

[7] Shepet I. P., Onufrienko V. V., Slesarenok S. V., Metodicheskoe obespechenie upravlyaemykh navigatsionnykh sistem, Voennyi uchebno-nauchnyi tsentr VVS «Voenno-vozdushnaya akademiya im. N. E. Zhukovskogo i Yu. A. Gagarina», Voronezh, 2012